A container in the shape of a rectangular prism has a base with an area of 19 1/2 square inches. If the container is filled with water to a height of 4 1/2 inches, how much water is in the container?
Answer: Water in the container = 87.75 cu.inches.
Step-by-step explanation:
Formula: Volume of rectangular prism = Base area x height
Base area = [tex]19\dfrac12[/tex] sq. inches Height = [tex]4\dfrac12[/tex] inches
So,
Volume of container = [tex]19\dfrac12\times4\dfrac12\text{ cu.inches}[/tex]
[tex]=\dfrac{39}{2}\times\dfrac{9}{2}\text{ cu.inches}[/tex]
[tex]=\dfrac{351}{4}\text{ cu.inches}[/tex]
[tex]=87.75\text{ cu. inches}[/tex]
Hence, Water in the container = 87.75 cu.inches.
find the value of c to the nearest tenth
Which property is it?
Answer:
first one, hope this helped
Step-by-step explanation:
Four stores are having a sale on video games. Circuit Shop is selling 6 games for $24.72. Electronic Center is selling 5 games for $20.50. Game Shop has 8 games for $32.00, and Cyber Central has 4 games for $17. Which store has the best deal?
A - Cyber Central
B - Electronic Center
C - GameShop
D - Circuit Shop
Answer: Its gameshop its being sold for only 4 dollars each
Step-by-step explanation:
you divide each sum of money by the amount of games and that tells you X the price per game
Molly is 11 years old. Kristen is 1 years older than Molly and Jane is 1 years older than
Kristen. How old is Jane?
At a campground, kayak rental company A charges a fixed amount of $10 plus $8 per hour for renting a one-person kayak. Company B charges a fixed amount of $6 plus $10 per hour for a one-person kayak.
Answer:
2hours
Step-by-step explanation:
Given data
Company A
charges a fixed amount of $10 plus $8 per hour
let the number of hours be x
and the total be y
y= 10+8x----------------1
Company B
charges a fixed amount of $6 plus $10 per hour for a one-person kayak.
let the number of hours be x
and the total be y
y= 6+10x----------------2
Equate 1 and 2 above
10+8x= 6+10x
collcet like terms
10-6= 10x-8x
4= 2x
x= 2hours
Hence after 2 hours the charges will be the same
Solve the equation for X and show your work.
3x= 15
Answer:
5
Step-by-step explanation:
15/3=5
How many solutions exist for the given equation?
} (x + 12) = 4x – 1
zero
one
two
infinitely many
Answer:
The given equation has one solution.
Step-by-step explanation:
Given equation is:
(x+12) = 4x-1
We will solve the equation to check how many solutions it has.
x+12 = 4x-1
Adding 1 on both sides
x+12+1 = 4x-1+1
x+13 = 4x
Subtracting x from both sides
x-x+13=4x-x
13 = 3x
x = 13/3
Hence,
The given equation has one solution.
anyone got an answer for this (don't mind the 160 i put. That answer is wrong)
Answer:
140°
Step-by-step explanation:
Angles in a triangle add up to 180
we can see it's an isosceles triangle so the base angles are the same
The missing angle inside the triangle would be...
180 - (70 + 70) = 40°
Angles on a straight line add up to 180
so 180 - 40 = 140°
6(x-4)-x=6x+4 one solution, no solution or infinite solution
Answer:
no solution
Step-by-step explanation:
Given
6(x - 4) = 6x + 4 ← distribute left side
6x - 24 = 6x + 4 ( add 24 to both sides )
6x = 6x + 28 ( subtract 6x from both sides )
0 = 28 ← not possible
This indicates the equation has no solution
What is the perimeter of the triangle, the left diagonal side is 6.1in, the right diagonal side is also 6.1in, the bottom line is 7in, and there is a line in the middle from top to bottom which is 5in. What is the perimeter of the triangle?
Answer:
19.2 inches
Step-by-step explanation:
6.1 + 6.1 + 7 = 12.2 + 7 = 19.2
perimeter is the outside distance of the shape so you don't need to know the altitude (or height) equals 5.
From the equation y−3=−2(x+1), identify the slope and a point on the line.
Answer:
slope = - 2, point on line = (- 1, 3 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = - 2(x + 1) ← is in point- slope form
with slope m = - 2 and (a, b ) = (- 1, 3 )
The slope of equation y−3=−2(x+1) is -2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
y−3=−2(x+1)
Using Slope- Intercept form
y= mx + b
So, the slope for the equation is -2.
Hence, the slope is -2.
Learn more about slope here:
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At 5:30 p.m., the temperature was recorded as 4 °F. At 10:00 p.m., the temperature had dropped 2 °. Which number line below best shows the
temperature at
10:00 p.m.?
Answer:
the answer is A
Step-by-step explanation:
a) Write the sequence of natural numbers which are multiplied by 3 ?
b) Write the sequence of natural numbers which are multiplied by 3 and added to 1 ?
c) Check whether the sequence obtained above is an arithmetic sequence or not?
Answer:
a) 3, 6, 9, 12, 15,...,[tex]3\cdot n[/tex], b) 4, 7, 10, 13, 16,...,[tex]3\cdot n +1[/tex], c) Both sequences are arithmetic.
Step-by-step explanation:
a) The sequence of natural numbers which are multiplied by 3 are represented by the function [tex]f(n) = 3\cdot n[/tex], [tex]n\in \mathbb{N}[/tex]. Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...
b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function [tex]f(n) = 3\cdot n + 1[/tex], [tex]n\in \mathbb{N}[/tex]. Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...
c) Both sequences since differences between consecutive elements is constant. Let prove this statement:
(i) [tex]f(n) = 3\cdot n[/tex]
[tex]\Delta f = f(n+1) -f(n)[/tex]
[tex]\Delta f = 3\cdot (n+1) -3\cdot n[/tex]
[tex]\Delta f = 3[/tex]
(ii) [tex]f(n) = 3\cdot n +1[/tex]
[tex]\Delta f = f(n+1)-f(n)[/tex]
[tex]\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)[/tex]
[tex]\Delta f = 3[/tex]
Both sequences are arithmetic.
The data below represents the relationship between the number of incidences of UFO sightings in late 1930s and early 1940s. Draw a scatter plot for the data. Year of Incidence 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 Number of Incidences (percent) 0.9 0.8 0.8 1.3 1.4 1.2 1.7 1.8 1.6 1.5 1.5
Answer:
Kindly check attached picture
Step-by-step explanation:
Given the data:
Year of Incidence 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946
Number of Incidences (percent) 0.9 0.8 0.8 1.3 1.4 1.2 1.7 1.8 1.6 1.5 1.5
The year of incidences were represented as 1 to 11 for each consecutive year. WITH YEAR on the x and number of incidences on the y. Axis.
Answer:
A ;
This is the picture in case it may be labelled a different letter!
☆
EDGE2023 Good Luck :3
Steve is buying an $1160 T.V on the installment plan. He makes a down payments of 200 he has to make monthly payment of 55.25 fo 21/2 years what is his finance charge
Answer:
Finance charge = $200
Step-by-step explanation:
Cost of the T.V. = $1160
Steve did the down payment = $200
Monthly payment done by Steve = $22.5
Duration for the periodic payments = 2.5 years
Number of periodic payments to be done = 12 × 2.5
= 30
Amount paid in periodic payments = Number of periodic payments done × amount paid in each month
= 30 × $55.25
= $1657.5
Total payment done = Down payment + Amount paid in periodic payments
= $200 + $1657.5
= $1857.5
Therefore, finance charges = Total payments done - cost of T.V.
= 1857.5 - 1657.5
= $200
4 Two rectangles have a scale factor of 3. If the area of the smaller rectangle is 45, what is the area of the larger rectangle?
Answer:
I need the PONTS
Step-by-step explanation:
Find the slope of the line that passes through the pair of points (4, 4) and (10, –1)
Answer:
-5/6
Step-by-step explanation:
Using the slope formula we can easily find the slope
m=(y2-y1)/(x2-x1)
m=(-1-4)/(10-4)
m=-5/6
What is the common difference of the set {(1, 0), (2, 2), (3, 4), (4, 6), (5, 8)}?
13. Suppose a real estate agent receives 5%
commission on the fi rst $200 000 of a
house’s selling price, and 6% on the
remaining amount.
a) What does commission mean?
b) If a house sells for $345 000, how
much commission does the real estate
agent make on the sale of the house?
Answer:
Commision may be defined as a percentage cut which an employee, broker, vendor, retailer or other persons within a sale chain receive from an employer or production firm for selling a good or offering a successful service based on agreed terms by both parties. ;
$18700
Step-by-step explanation:
Given :
Commision pattern :
5% on first $200,000
6% on remaining amount
Amount of commission on $345000
0.05 * 200000 = 10,000
0.06 * (345000 - 200000) = 8700
Total commission :
10,000 + 8700 = 18,700
A recipe needs 1/4 tablespoons salt. This same recipe is made 5 times. How much total is needed?
Answer:
The answer to this question would be 1/4 *5=1.25
Step-by-step explanation:
PLZZ mark me brainliest
Which method can you use to prove that the triangles are congruent
Answer:
ΔASA ≅ ΔASA
Step-by-step explanation:
11(2+3) =
I need help on this question
Answer:
55 is the answer I think so
Answer: 55
Step-by-step explanation:
Step One: Add: 2 + 3 = 5
Step Two: Multiple: 11 * the result of step No. 1 = 11 * 5 = 55
Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
O They are not perpendicular because their slopes are
O They are not perpendicular because their slopes are
negative reciprocals.
equal.
not negative reciprocals.
Answer:
they are perpendicular because they have slopes that are negative reciprocals
Step-by-step explanation:
th
The statement that best explains the relationship between lines FG and HJ is "They are not perpendicular because their slopes are not negative reciprocals."
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
To find the slope of a line passing through two given points, we use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For line FG, the two points are F(-4, 1) and G(0, -2):
slope of FG = (-2 - 1) / (0 - (-4)) = (-2 - 1) / 4 = -3/4
For line HJ, the two points are H(-4, -2) and J(0, 4):
slope of HJ = (4 - (-2)) / (0 - (-4)) = 6/4 = 3/2
The slopes of lines FG and HJ are not equal. However, we can see that they are not negative reciprocals of each other:
slope of FG = -3/4
slope of HJ = 3/2
Therefore, lines FG and HJ are not perpendicular because their slopes are not negative reciprocals of each other.
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what is an equivalent expression to −56z+28
Answer:
(
2
z
−
1
)
Step-by-step explanation:
-56z:28
z equal to 28/56
A bottle contains 2/6 liters of soda. Ann has 12 of these bottles.
How much soda does she have in all? write in simplest form
Answer:
4 liters
Step-by-step explanation:
simplify 2/6 = 1/3
Multiply 1/3 times the 12 bottles
1/3 * 12
12/3
Simplify
4
Answer:
4 liters of soda.
Step-by-step explanation:
2/6⋅12=24/6
24/6=4
Therefore, your answer is 4 liters.
If a football field is 100 yards long and 54 yard wide and what is the area in perimeter of that football filed
Answer:
5400
Step-by-step explanation:
you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter
Find the value of x given the figure below.
A stamp collector has 1,200 stamps, and 65% of them were produced after the year 2000. How many stamps were produced after the year 2000?
Answer:
780
Step-by-step explanation:
65% of 1,200 is 780 :)
Answer:
780
Step-by-step explanation:
65% x 1,200 = 780
Which equation does the graph below represent?
Answer: y=2x
Step-by-step explanation: I'm 99% sure I'm right.